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3 years ago

I have a square graph, but I would like to make the graph larger.

Mathematics

1 answer:

fenix001 [56]3 years ago

4 0

FORMULA:

Area of ⬜ = (side)²

ANSWER:

We are given new side of square i.e, 2s + 3.

So, Area = (2s + 3)²

(2s)² + (3)² + 2 × 2s × 3
4s² + 9 + 12s

Hence, The area of the new graph is a perfect square trinomial: __4__s² + __12__s +__9__.

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A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s

Umnica [9.8K]

Answer:

88.51 is the minimum score needed to receive a grade of A.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73

Standard Deviation, σ = 11

We are given that the distribution of exam grades is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.0793.

$P( X \geq x) = P( z \geq \displaystyle\frac{x - 73}{11})=0.0793$

$= 1 -P( z \leq \displaystyle\frac{x - 73}{11})=0.0793$

$=P( z \leq \displaystyle\frac{x - 73}{11})=0.9207$

Calculation the value from standard normal z table, we have,

$P(z \leq 1.410) = 0.9207$

$\displaystyle\frac{x - 73}{11} = 1.410\\x =88.51$

Hence, 88.51 is the minimum score needed to receive a grade of A.

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2 years ago

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Answer:39

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Answer:

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Step-by-step explanation:

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Answer:

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